TY - JOUR

T1 - Numerical Simulation of the Negative Magnus Effect of a Two-Dimensional Spinning Circular Cylinder

AU - Zheng, Zhiwei

AU - Lei, Juanmian

AU - Wu, Xiaosheng

N1 - Publisher Copyright:
© 2016, Springer Science+Business Media Dordrecht.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - Based on the finite volume method, the flow past a spinning circular cylinder at a low subcritical Reynolds number (Re =1 × 10 5), high subcritical Reynolds number (Re =1.3 ×10 5), and critical Reynolds number (Re =1.4 ×10 5) were each simulated using the Navier-Stokes equations and the γ-Reθ transition model coupled with the SST k−ω turbulence model. The system was solved using an implicit algorithm. The freestream turbulence intensity decay was effectively controlled by the source term method proposed by Spalart and Rumsey. The variations in the Magnus force as a function of the spin ratio, α were obtained for the three Reynolds numbers, and the flow mechanism was analyzed. The results indicate that the asymmetric transitions induced by spin affect the asymmetric separations at the top and bottom surfaces of the circular cylinder, which further affects the pressure distributions at the top and bottom surfaces of the circular cylinder and ultimately result in a negative Magnus force, whose direction is opposite to that of the classical Magnus force. This study is the first to use a numerical simulation method to predict a negative Magnus force acting on a spinning circular cylinder. At the low subcritical Reynolds number, the Magnus force remained positive for all spin ratios. At the high subcritical Reynolds number, the sign of the Magnus force changed twice over the range of the spin ratio. At the critical Reynolds number, the sign of the Magnus force changed only once over the range of the spin ratio. For relatively low spin ratios, the Magnus force significantly differed by Reynolds number; however, this variation diminished as the spin ratio increased.

AB - Based on the finite volume method, the flow past a spinning circular cylinder at a low subcritical Reynolds number (Re =1 × 10 5), high subcritical Reynolds number (Re =1.3 ×10 5), and critical Reynolds number (Re =1.4 ×10 5) were each simulated using the Navier-Stokes equations and the γ-Reθ transition model coupled with the SST k−ω turbulence model. The system was solved using an implicit algorithm. The freestream turbulence intensity decay was effectively controlled by the source term method proposed by Spalart and Rumsey. The variations in the Magnus force as a function of the spin ratio, α were obtained for the three Reynolds numbers, and the flow mechanism was analyzed. The results indicate that the asymmetric transitions induced by spin affect the asymmetric separations at the top and bottom surfaces of the circular cylinder, which further affects the pressure distributions at the top and bottom surfaces of the circular cylinder and ultimately result in a negative Magnus force, whose direction is opposite to that of the classical Magnus force. This study is the first to use a numerical simulation method to predict a negative Magnus force acting on a spinning circular cylinder. At the low subcritical Reynolds number, the Magnus force remained positive for all spin ratios. At the high subcritical Reynolds number, the sign of the Magnus force changed twice over the range of the spin ratio. At the critical Reynolds number, the sign of the Magnus force changed only once over the range of the spin ratio. For relatively low spin ratios, the Magnus force significantly differed by Reynolds number; however, this variation diminished as the spin ratio increased.

KW - Negative Magnus force

KW - Spin ratio

KW - Spinning circular cylinder

KW - Subcritical Reynolds number

KW - γ-Re transition model

UR - http://www.scopus.com/inward/record.url?scp=84976428065&partnerID=8YFLogxK

U2 - 10.1007/s10494-016-9747-0

DO - 10.1007/s10494-016-9747-0

M3 - Article

AN - SCOPUS:84976428065

SN - 1386-6184

VL - 98

SP - 109

EP - 130

JO - Flow, Turbulence and Combustion

JF - Flow, Turbulence and Combustion

IS - 1

ER -